Morava K-Theories and Localisation.
- 1st ed.
- 1 online resource (114 pages)
- Memoirs of the American Mathematical Society ; v.139 .
- Memoirs of the American Mathematical Society .
Intro -- Contents -- Introduction -- 1. Basic definitions -- 2. E theory -- 3. K-injective spectra -- 4. Generalised Moore spectra -- 5. Bousfield classes -- 6. The E(n)-local category -- 7. General properties of the K(n)-local category -- 8. Smallness and duality -- 9. Homology and cohomology functors -- 10. Brown-Comenetz duality -- 11. The natural topology -- 12. Dualisable spectra -- 13. K-nilpotent spectra -- 14. Grading over the Picard group -- 15. Examples -- 16. Questions and conjectures -- A. Completion -- B. Small objects in other categories -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- P -- R -- S -- T -- W.